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Finding the Fourth Proportional to 1,293.10, 1,938.67 and 644.29

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Solution

The fourth proportional to 1,293.10, 1,938.67 and 644.29 is: 965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.10 : 1,938.67 = 644.29 : x
  2. Step 2: Convert to fraction form
    1,293.10/1,938.67 = 644.29/x
  3. Step 3: Cross multiply
    1,293.10x = 1,938.67 × 644.29
  4. Step 4: Simplify right side
    1,293.10x = 1,249,065.69
  5. Step 5: Solve for x
    x = 1,249,065.69/1,293.10
  6. Step 6: Final answer
    x = 965.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.